sophiaventouras
sophiaventouras sophiaventouras
  • 24-03-2021
  • Mathematics
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What is the length of the missing leg

What is the length of the missing leg class=

Respuesta :

tman160429
tman160429 tman160429
  • 24-03-2021

Answer:

4.33

Step-by-step explanation:

1. Pythagoras Theorem

[tex]25 = \sqrt{3^{2}+b^{2}}[/tex]

2. Find b

[tex]5 = 3^{2}+b^{2}[/tex]

[tex]b^{2}[/tex] = [tex]5-3^{2}[/tex] = [tex]5-9[/tex] = -4

but sqrt(-4) is not possible

b ≅ 4

OR (Require trig knowledge)

1. Sine Rule

[tex]\frac{a}{sin\alpha}=\frac{b}{sin\beta}=\frac{c}{sin\pi }[/tex]

2. Plug in numbers

[tex]\frac{5}{sin90}=\frac{b}{sin60}=\frac{3}{sin30}[/tex]

b ≅ 4.33

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